Compute the least-squares line

Reference no: EM131008706

ObservedValue	CalculatedValue	ObservedValue	CalculatedValue
0.33	0.36	0.74	0.78
0.36	0.36	0.79	0.86
0.54	0.58	0.97	0.97
0.56	0.64	1.03	1.11
0.66	0.64	1.10	1.06
0.66	0.67	1.13	1.08
0.74	0.58	1.14	1.17

The article "Polyhedral Distortions in Tourmaline" (A. Ertl, J. Hughes, et al., Canadian Mineralogist, 2002:153-162) presents a model for calculating bond- length distortion in vanadium-bearing tourmaline. To check the accuracy of the model, several calculated values (x ) were compared with directly observed values (y). The results (read from a graph) are presented in the following table.

a. Compute the least-squares line y = βˆ0 + βˆ1 x .

b. Predict the value y when the calculated value is x = 1.0.

c. For which values of x will the predicted value y be less than the calculated value x ?

Reference no: EM131008706

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